{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pylab as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-3.985392790113721\n",
      "3.931383406140456\n",
      "-0.007272468185888002\n",
      "-----------\n",
      "0.0\n",
      "1.0\n",
      "0.5024924569435322\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x1152 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "image = np.random.normal(size=[100,100,3])\n",
    "\n",
    "m = image.min()\n",
    "r = image.max() - m\n",
    "print(image.min())\n",
    "print(image.max())\n",
    "print(image.mean())\n",
    "print('-----------')\n",
    "for i in range(100):\n",
    "    for j in range(100):\n",
    "        e = image[i,j]\n",
    "        image[i,j] =  (e- m) / r\n",
    "print(image.min())\n",
    "print(image.max())\n",
    "print(image.mean())\n",
    "plt.figure(figsize=(16,16))\n",
    "plt.axis('off')\n",
    "_= plt.imshow(image)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.017736614737024\n",
      "0.9837148637761355\n",
      "1.0000092125106756\n"
     ]
    }
   ],
   "source": [
    "print(image.max())\n",
    "print(image.min())\n",
    "print(image.mean())"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
